Pith Number

pith:7IEXPMBS

pith:2011:7IEXPMBSKAQGC2PP362GPP3MTB

not attested not anchored not stored refs pending

Cosmological apparent and trapping horizons

Valerio Faraoni (Bishop's University)

arxiv:1106.4427 v1 · 2011-06-22 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IEXPMBSKAQGC2PP362GPP3MTB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:16:11.515357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa0977b03250206169efdfb467bf6c987a7ceb4be0c69463d207c5a16a297ab6

Aliases

arxiv: 1106.4427 · arxiv_version: 1106.4427v1 · doi: 10.48550/arxiv.1106.4427 · pith_short_12: 7IEXPMBSKAQG · pith_short_16: 7IEXPMBSKAQGC2PP · pith_short_8: 7IEXPMBS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7IEXPMBSKAQGC2PP362GPP3MTB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fa0977b03250206169efdfb467bf6c987a7ceb4be0c69463d207c5a16a297ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276b810739e62147abc64cbc9e1e9ad6d11840ffbebb33270b2558ca7788cf51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-22T12:09:33Z",
    "title_canon_sha256": "c4b3ff8f40ac24b1b5e36575588ffe6365c0fa59f030e5c49467cb24ee728716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4427",
    "kind": "arxiv",
    "version": 1
  }
}